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2 years ago

A circle with circumference 8, has an arc with a 288 degree central angle. What is the length of the arc?

2 answers:

8 0

We know that
the circumference C=2*pi*r
C=8 units

if 360° (full circle) has a length of-----------> 8 units
288°---------------------------> x
x=288*8/360-------> x=6.4 units

the answer is
6.4 units

ValentinkaMS [17]2 years ago

8 0

Answer:
length of arc = 6.4 units

Explanation:
The length of the arc can be calculated using the following formula:
length of arc = 2π * radius * $\frac{angle}{360}$ 

Taking a look at the equation and comparing it with the given, we would find that:
2π*r is the equation for calculating the circumference.
We are given that the the circumference of the circle is 8 units
theta is the angle subtended by the arc = 288°

Substitute with the givens in the above equation to get the length of the arc as follows:
length of arc = 8 * $\frac{288}{360}$ 
length of arc = 6.4 units

Hope this helps :)

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A cylindrical roller 2.5 m in length, 1.5 m in radius when rolled on a road was found to cover the area of 16500 m2 . How many r

eduard

Answer:

701 revolutions

Step-by-step explanation:

Given: Length= 2.5 m

Radius= 1.5 m

Area covered by roller= 16500 m²

Now, finding the Lateral surface area of cylinder to know area covered by roller in one revolution of cylindrical roller.

Remember; Lateral surface area of an object is the measurement of the area of all sides excluding area of base and its top.

Formula; Lateral surface area of cylinder= $2\pi rh$

Considering, π= 3.14

⇒ lateral surface area of cylinder= $2\times 3.14\times 1.5\times 2.5$

⇒ lateral surface area of cylinder= $23.55 \ m^{2}$

∴ Area covered by cylindrical roller in one revolution is 23.55 m²

Next finding total number of revolution to cover 16500 m² area.

Total number of revolution= $\frac{16500}{23.55} = 700.6369 \approx 701$

Hence, Cyindrical roller make 701 revolution to cover 16500 m² area.

8 0

2 years ago

To estimate the height of a building, a stone is dropped from the top of the building into a pool of water at ground level. The

kupik [55]

Answer:

The height of the building is 153.664 meter.

Step-by-step explanation:

Consider the provided function.

$s(t) = 4.9t^2 + v_0 t + s_0$

Here t represents the time v₀ represents the initial velocity, s₀ represents the initial height and s(t) represents the height after t seconds.

It is given that the splash is seen 5.6 seconds after the stone is dropped.

That means after 5.6 seconds height s(t) = 0, Also the initial velocity of the stone is 0.

Substitute respective values in the above function.

$0 = 4.9(5.6)^2 +5.6(0)+ s_0$

$0 = 4.9(31.36)+ s_0$

$s_0=-153.664$

As height can't be a negative number so the value of s₀ is 153.664.

Hence, the height of the building is 153.664 meter.

7 0

2 years ago

Which term describes a time period marked by a change that begins a new period of development? century decade era millennium

defon

Answer:

Era

Step-by-step explanation:

Century, Decade and Millennium have something in common and that which they have in common is that they are all measurement of time.

The keyword measurement implies that they are units of time just like seconds, minutes, hours, etc.

Century -> 100 years

Decade -> 10 years

Millennium -> 1000 years

However, era is used to describe events in history;

Take for instance; the era of the first generation of computer;

So, from the list of given options; Era best answers the question

8 0

2 years ago

Read 2 more answers

Find the sine function that is represented in the graph.

meriva

Answer:

Choice D). $f(x)=20\sin(4x)$ is correct.

Step-by-step explanation:

Given function graph is sinusoidal so let's compare with formula $f(x)=A\sin(Bx-C)+D$

We know that amplitude is the height from the center line to the peak (or to the trough). From graph we can see that height from the center line to the peak is 20

So amplitude A=20

In that formula, period is given by $\frac{2\pi}{B}$